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Finding the Fourth Proportional to 99.52, 137.10 and 97

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Solution

The fourth proportional to 99.52, 137.10 and 97 is: 133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.52 : 137.10 = 97 : x
  2. Step 2: Convert to fraction form
    99.52/137.10 = 97/x
  3. Step 3: Cross multiply
    99.52x = 137.10 × 97
  4. Step 4: Simplify right side
    99.52x = 13,298.70
  5. Step 5: Solve for x
    x = 13,298.70/99.52
  6. Step 6: Final answer
    x = 133.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.